Preprints, Working Papers, ... Year : 2007

On a randomized PNG model with a columnar defect

Abstract

We study a variant of poly-nuclear growth where the level boundaries perform continuous-time, discrete-space random walks, and study how its asymptotic behavior is affected by the presence of a columnar defect on the line. We prove that there is a non-trivial phase transition in the strength of the perturbation, above which the law of large numbers for the height function is modified.
Fichier principal
Vignette du fichier
RPNG.pdf (172) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

ensl-00128386 , version 1 (31-01-2007)
ensl-00128386 , version 2 (03-03-2009)

Identifiers

Cite

Vincent Beffara, Vladas Sidoravicius, Maria Eulalia Vares. On a randomized PNG model with a columnar defect. 2007. ⟨ensl-00128386v1⟩
65 View
248 Download

Altmetric

Share

More